Real and Complex Analysis

by Christopher Apelian, Steve Surace

Overview

Presents Real&Complex Analysis Together Using a Unified ApproachA two-semester course in analysis at the advanced undergraduate or first-year graduate levelUnlike other undergraduate-level texts, Real and Complex Analysis develops both the real and complex theory together. It takes a unified, elegant approach to the theory that is consistent with

Product Details

ISBN-13:	9781040170694
Publisher:	CRC Press
Publication date:	12/08/2009
Series:	Textbooks in Mathematics
Sold by:	Barnes & Noble
Format:	eBook
Pages:	567
File size:	3 MB

About the Author

Christopher Apelian is an associate professor and chair of the Department of Mathematics and Computer Science at Drew University. Dr. Apelian has published papers on the application of probability and stochastic processes to the modeling of turbulent transport.

Steve Surace is an associate professor in the Department of Mathematics and Computer Science at Drew University. Dr. Surace is also the Associate Director of the New Jersey Governor's School in the Sciences held at Drew University every summer.

Table of Contents

The Spaces R, Rk, and C. Point-Set Topology. Limits and Convergence. Functions: Definitions and Limits. Functions: Continuity and Convergence. The Derivative. Real Integration. Complex Integration. Taylor Series, Laurent Series, and the Residue Calculus. Complex Functions as Mappings. Bibliography. Index.